A note on the holography of Chern-Simons matter theories with flavour

Abstract

We study a three-dimensional = 3 U(N) k × U(N) -k Chern-Simons matter theory with flavour, corresponding to the = 6 Aharony-Bergman-Jafferis-Maldacena CSM theory coupled to 2N f fundamental fields. The dual holographic description is given by the near-horizon geometry of N M2-branes at a particular hypertoric geometry 8. We explicitly construct the space 8 and match its isometries to the global symmetries of the field theory. We also discuss the model in the quenched approximation by embedding probe D6-branes in AdS 4 × ℂ ℙ 3. © 2009 SISSA.